what are the two different mathemtatical models that can be derived from the fibonacci's rabbits problem?

Answer:

$63.00

Step-by-step explanation:

$200.00× 0.045=9

9×7=63

To evaluate the given triple integral, we need to set up the limits of integration. The region E is bounded by the parabolic cylinder z = 9 - y^2 and the planes z = 0, x = 3, and x = -3. This means that z varies from 0 to 9 - y^2, y varies from -3 to 3, and x varies from -3 to 3.

The triple integral can be written as an iterated integral as follows:

\[\iiint_{E} x^{6} e^{y} dV = \int_{-3}^{3} \int_{-3}^{3} \int_{0}^{9-y^2} x^6 e^y dz dy dx.\]

We can evaluate this iterated integral from the inside out. The innermost integral with respect to z is

\[\int_{0}^{9-y^2} x^6 e^y dz = x^6 e^y z \Big|_{0}^{9-y^2} = x^6 e^y (9-y^2).\]

Substituting this into the middle integral and evaluating with respect to y, we get

\[\int_{-3}^{3} x^6 e^y (9-y^2) dy = x^6 \left(9e^y - \frac{e^y y^3}{3}\right) \Big|_{-3}^{3} = x^6 \left(18e^3 + \frac{54}{e^3}\right).\]

Substituting this into the outermost integral and evaluating with respect to x, we get

\[\int_{-3}^{3} x^6 \left(18e^3 + \frac{54}{e^3}\right) dx = \left(18e^3 + \frac{54}{e^3}\right) \frac{x^7}{7} \Big|_{-3}^{3} = 2\left(18e^3 + \frac{54}{e^3}\right) \frac{2187}{7}.\]

Simplifying this expression, we find that the value of the triple integral is

\[\iiint_{E} x^{6} e^{y} dV = 2\left(18e^3 + \frac{54}{e^3}\right) \frac{2187}{7}.\]

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Answer: B

Step-by-step explanation:

Use Math...

Answer:

Step-by-step explanation:

The value of "m" represents the length of side G F in the kite F G H K. The value of "m" is 3.5. Given that sides G F and F K are congruent, we can conclude that their lengths are equal.

We are given that the length of side G H is 5 m 1 and the length of side H K is 3 m 7.

To find the value of "m," we need to find the length of side G F.

Since G F and F K are congruent, we can set up an equation:

5 m 1 = 3 m 7

To solve for "m," we need to subtract 3 m from both sides of the equation:

5 m - 3 m = 3 m - 3 m + 7

This simplifies to:

2 m = 7

Now, we can solve for "m" by dividing both sides of the equation by 2:

m = 7 ÷ 2

m = 3.5

Therefore, the value of "m" is 3.5.

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Answer:

See Explanation

Step-by-step explanation:

The volume of first solid is obtained by rotating the region between y=x^6 and y=1 about y=5 is 120π/91 cubic units, The second solid is obtained by rotating the region bounded by x=0, y=1, and x=y^8 about y=1 is 2π/3 cubic units, The third solid is obtained by rotating the region between y=1/x^3, y=0, x=2, and x=6 about y=-3 is 737π/7 cubic units.

The region bounded by the curves y=x^6 and y=1 about the line y=5. To find the volume, we use the formula for the volume of a solid of revolution V = ∫(a,b) π(R(x)^2 - r(x)^2) dx,

where R(x) and r(x) are the outer and inner radii, respectively, and (a,b) is the interval of integration.

Since we are revolving about the line y=5, the outer radius is 5 - y and the inner radius is 5 - y(x^6) (notice that the curves are rotated "vertically" about a "horizontal" line). Thus,

V = ∫(0,1) π[(5-y)^2 - (5-y(x^6))^2] dx

= ∫(0,1) π[25 - 10y + y^2 - 25 + 10y(x^6) - y^2(x^6)^2] dx

= π ∫(0,1) (10x^6 - x^12) dx

= π [ (10/7)x^7 - (1/13)x^13 ] | from 0 to 1

= π [ 10/7 - 1/13 ]

= 120π/91

Therefore, the volume of the solid obtained by rotating the region bounded by y=x^6 and y=1 about the line y=5 is 120π/91 cubic units.

The region bounded by the curves x=0, y=1, and x=y^8 about the line y=1:

To find the volume, we again use the formula for the volume of a solid of revolution V = ∫(a,b) π(R(y)^2 - r(y)^2) dy,

where R(y) and r(y) are the outer and inner radii, respectively, and (a,b) is the interval of integration.

Since we are revolving about the line y=1, the outer radius is 1 and the inner radius is y. Thus,

V = ∫(0,1) π[(1)^2 - (y)^2] dy

= π ∫(0,1) (1 - y^2) dy

= π [ y - (1/3)y^3 ] | from 0 to 1

= 2π/3

Therefore, the volume of the solid obtained by rotating the region bounded by x=0, y=1, and x=y^8 about the line y=1 is 2π/3 cubic units.

The region bounded by the curves y=1/x^3, y=0, x=2, and x=6 about the line y=-3:

To find the volume, we again use the formula for the volume of a solid of revolution V = ∫(a,b) π(R(x)^2 - r(x)^2) dx,

where R(x) and r(x) are the outer and inner radii, respectively, and (a,b) is the interval of integration.

Since we are revolving about the line y=-3, the outer radius is 3 + y(x^3) and the inner radius is -y. Thus,

V = ∫(2,6) π[(3 + y(x^3))^2 - (-y)^2] dx

= π ∫(2,6) (9 + 6y(x^3) + y^2(x^6)) dx

(x^4) + (1/3)(x^3)(1/x^3) + (1/7)(1/x^3) ] | from 2 to 6

= π [ 42 + 54/2 + 1/7 ]

= 737π/7

Therefore, the volume of the solid obtained by rotating the region bounded by y=1/x^3, y=0, x=2, and x=6 about the line y=-3 is 737π/7 cubic units.

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You will have approximately $1929.29 available to spend in 6 years.

To calculate the future value of your deposit after 6 years, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)^Time

Plugging in the values:

Present Value (PV) = $1491

Interest Rate = 5.07% = 0.0507

Time = 6 years

Future Value = $1491 * (1 + 0.0507)^6

Calculating the expression:

Future Value = $1491 * (1.0507)^6

Future Value ≈ $1929.29

Therefore, you will have approximately $1929.29 available to spend in 6 years.

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If the supply of corn is relatively price inelastic, it means that even if the price of corn changes, the quantity supplied by sellers will not change significantly. On the other hand, the demand for corn is relatively price elastic, which means that if the price of corn changes, the quantity demanded by buyers will change significantly.

Now, if the government imposes a per-unit excise tax on the production of corn, the price of corn will increase. Since the demand for corn is price elastic, buyers will reduce their purchases of corn in response to the price increase. As a result, the burden or incidence of the tax will fall more on buyers than on sellers. Therefore, the correct answer is 3 - more on buyers than on sellers.

Regarding the second question, the absolute value of the price elasticity of demand for a good increase when consumers spend a greater portion of their budget on the good. This is because as consumers spend more of their budget on a good, they become more sensitive to changes in the price of the good. They will be more likely to reduce their purchases of the good if its price increases. Therefore, the correct answer is 4 - consumers spend a greater portion of their budget on the good.
.First, let's address the part about the tax incidence on corn:

Given that the supply of corn is relatively price inelastic and the demand for corn is relatively price elastic, when the government imposes a per-unit excise tax on the production of corn, the incidence or burden of the tax will fall:

5. more on sellers than on buyers

This is because price inelastic supply means that sellers are less responsive to price changes, while price elastic demand means that buyers are more responsive to price changes. As a result, sellers will bear a greater portion of the tax burden.

Now let's discuss the factors that affect the absolute value of the price elasticity of demand for a good:

The absolute value of the price elasticity of demand for a good increase when:

4. consumers spend a greater portion of their budget on the good

When consumers spend a greater portion of their budget on a good, they become more sensitive to price changes, resulting in a higher price elasticity of demand.

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Answer:

I don't understand the format of the questions and choices.  I simply made a few observation.

Step-by-step explanation:

The fraction - (2) can be described as the opposite of a positive number divided by a positive number.

-(2/1)?

A positive number divided by a positive number results in a Choose...     Negative Number

quotient, and its opposite is always Choose...    Opposite?  Still a negative number.

I don't understand the following:

The fraction can be described as a positive number divided by a negative number, which

-12

always results in a Choose...

quotient.

value, so Liam Choose...

The fractions have

Choose...

Y

correct.

Answer:

i found this picture on google i just looked up. it should have your answer here. i play flute, so i dont understand it all that much :/

hope this helps

second pic is a flute chart ;P

Step-by-step explanation:

Answer:

12 percent is the vat percentage.

4080 is the amount of VAT

Step-by-step explanation:

It's a pretty simple question don't stress it.

To find the amount of the vat, it's simply subtracting the price including VAT by the initial price, 34000.

38080 - 34000 = 4080

To find the percentage of vat, simply do

\(\frac{Price Including Vat}{Original Price} \)   This equation will give you the percentage of VAT.

38080/34000 = 1.12

For the given equation, we will find the value of (a) to find the equivalent equations.

First equation:

Second equation:

Third equation:

Fourth equation:

As shown all the equations given the same value of a = 3

So, the answer will be Y

Answer:

5x?

Step-by-step explanation:

Because Zachary earns $5 per hour, and he makes a $20 bonus.

His equation is shown in red on the graph, y = 5x + 20.

Maisy earns $7.50 per hour, and she makes a $5 bonus.

Her equation is shown in blue on the graph, y = 7.50x +

5.

After how many hours do they earn the same amount of

money? Where do you see this on the graph? Share

your answer with the class when you are finished, then

read other people's responses.

The simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

The equation can be simplified as follows:

7y + 8 = 9 + 3y + 2y

We have to combine like terms

Hence,

7y + 8  = 9 + 3y + 2y

7y + 8 = 9 + 5y

subtract 5y from both sides

7y - 5y + 8 = 9 + 5y - 5y

2y + 8 = 9

Let's subtract 8 from both sides

2y + 8 - 8 = 9 - 8

2y = 1

Therefore, the simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

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To estimate the justified trailing price-to-earnings ratio (P/E) for the acquisition target, we need to consider various factors such as the dividend growth rate, required rate of return (Ke), dividend payout ratio, net profit margin.The estimated justified trailing P/E ratio for the acquisition target is approximately 15.354.

To estimate the justified trailing P/E (Price-to-Earnings) ratio for the acquisition target, we can use the Dividend Discount Model (DDM) approach. The justified P/E ratio can be calculated by dividing the required rate of return (Ke) by the expected long-term growth rate of dividends. Here's how you can calculate it:
Step 1: Calculate the Dividend Per Share (DPS):
DPS = Trailing EPS * Dividend Payout Ratio
DPS = $5.67 * 75.0% = $4.2525
Step 2: Calculate the Expected Dividend Growth Rate (g):
g = Dividend Growth Rate * ROE
g = 3.5% * 15.1% = 0.5285%
Step 3: Calculate the Justified Trailing P/E:
Justified P/E = Ke / g
Justified P/E = 8.1% / 0.5285% = 15.354
Therefore, the estimated justified trailing P/E ratio for the acquisition target is approximately 15.354. This indicates that the market is willing to pay approximately 15.354 times the earnings per share (EPS) for the stock, based on the company's growth prospects and required rate of return.

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Complete Question

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.  

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.  

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

Writing it backwards:

Also,

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

Answer:

A, D and E

Step-by-step explanation:

Answers:

Hey there bud!

Just as a note, a linear sequence is when each number after another has a same added constant term.

i) Non-linear. +1 +2 +3. Not + same number

ii) Non-Linear. +(-8) +(-8) +(-8) +(-8) +(-9)

If you mistyped that, which I'm pretty sure you did, then I think it's a linear sequence for ii.

iii) Non-Linear. -3, -6, -9

iv) Linear. -2 -2 -2 -2 -2 etc.

If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.

Let T be the time and L be the Labor (Number of people working on the bridge).

T ∞ 1/√L  (Inverse relationship)

T = K/√L                   ----------------------------- (1)

Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.

According to the question,

Time (T) = 75 days    and

labor (L) = 09

From the equation (1), we get,

    T = K / √L

⇒ 75   = K/√9

⇒ 75= K/3

⇒ K= 225

First, the relationship between these variables is:

                       T = 225/√L

Therefore, how long it will take 25 people to do it means that we should look for the time.

                           T=225/√L

                      ⇒  T= 225/√25

                      ⇒  T= 225/5

                      ⇒  T= 45 days.

therefore, 25 people needs 45 days to complete the job.

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A Quadratic function is non-Linear.

Answer:

nonlinear

Step-by-step explanation:

Quadratic functions are non-linear. A linear function produces a straight line while a quadratic function produces a parabola

The standard equation of the plane is 5x + 2y - 3z = 31. The general equation is ax + by + cz = d, where a = 5, b = 2, c = -3, and d = 31.

To determine the standard and general equations of a plane, we use the point-normal form. The standard equation represents the plane as a linear combination of its coefficients, while the general equation represents it in a more general form.

Given the point (3, -2, 5) and the normal vector ⟨5, 2, -3⟩, we can substitute these values into the equation of the plane. By multiplying the coefficients of the normal vector with the respective variables and summing them up, we obtain the standard equation: 5x + 2y - 3z = 31.

To derive the general equation, we rewrite the standard equation by moving all terms to one side, resulting in ax + by + cz - d = 0. By comparing this equation with the standard equation, we determine the coefficients a, b, c, and d. In this case, a = 5, b = 2, c = -3, and d = 31, yielding the general equation 5x + 2y - 3z = 31.

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There are about 12,144 possible ways to select a president, a secretary, and a treasurer from a board of directors with 24 members.

The board of directors of a corporation needs to select a president, a secretary, and a treasurer. There are 24 members on the board of directors.

To find the number of possible ways this can be accomplished, we can use the concept of permutations.

First, we need to determine the number of choices for each position.

Since the president position can be filled by any of the 24 members, there are 24 options.

After the president is chosen, there are 23 remaining members who can be chosen for the secretary position.

Finally, for the treasurer position, there are 22 remaining members to choose from.

To find the total number of possible ways to fill all three positions, we can multiply the number of options for each position: 24 * 23 * 22 = 12,144.

Therefore, there are about 12,144 possible ways to select a president, a secretary, and a treasurer from a board of directors with 24 members.

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a) The relation is reflexive, symmetric, and transitive.

b) The relation is not reflexive, symmetric, or transitive.

a) For each watermelon x, x is related to x because the measured weight of x is at least the measured weight of x. Therefore, the relation is reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is also related to x (meaning the measured weight of y is at least the measured weight of x). Therefore, the relation is symmetric.

For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is related to z (meaning the measured weight of x is at least the measured weight of z). Therefore, the relation is transitive.

b) For each watermelon x, x is not related to x because no two watermelons have the same measured weight. Therefore, the relation is not reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is not related to x (meaning the measured weight of y is not at least the measured weight of x).

Therefore, the relation is not symmetric. For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is not related to z (meaning the measured weight of x is not at least the measured weight of z).

Therefore, the relation is not transitive.

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Answer:

lol same facts though

Step-by-step explanation:

Answer:

Your future doesn't really depend on school to be honest, but school is one of the options to a great future. Even college and etc dropouts become successful.

Answer:

wheres the picture dude

Step-by-step explanation:

Answer:

See below ↓↓

Step-by-step explanation:

Formulas to keep in mind

Solving

⇒ 1/3πr₁²h = 4/3πr₂³

⇒ r₁² x 96 = 4 x r₂³

⇒ r₂³ / r₁² = 24

⇒ r₂ (Radius of sphere) = 2.88 units

⇒ r₁ (Radius of cone) = 1 unit

True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Step-by-step explanation:

Firstly, there's a typing error at (x=1)². I assume it is (x-1)². If my assumption is correct,then:

x²-2x+1-4x=x²-2x+1

x²-6x+1-x²+2x-1=0

-4x=0

x=0